A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations

Finite Element ◽

Stokes Problem ◽

Element Formulation ◽

Galerkin Formulation

A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90025-3 ◽

1986 ◽

Vol 59 (1) ◽

pp. 85-99 ◽

Cited By ~ 964

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca ◽

Marc Balestra

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Stokes Problem ◽

Element Formulation ◽

Galerkin Formulation

A new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90184-8 ◽

1987 ◽

Vol 65 (1) ◽

pp. 85-96 ◽

Cited By ~ 286

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Boundary Conditions ◽

Stokes Problem ◽

Element Formulation ◽

Velocity Pressure ◽

Well Posed

A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90152-0 ◽

1986 ◽

Vol 58 (3) ◽

pp. 305-328 ◽

Cited By ~ 377

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Element Formulation ◽

A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90153-2 ◽

1986 ◽

Vol 58 (3) ◽

pp. 329-336 ◽

Cited By ~ 233

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Element Formulation ◽

A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90145-v ◽

1991 ◽

Vol 87 (1) ◽

pp. 35-58 ◽

Cited By ~ 101

Author(s):

Farzin Shakib ◽

Thomas J.R. Hughes

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Fourier Analysis ◽

Least Squares ◽

Space Time ◽

Element Formulation

Finite Element Formulation for Computational Fluid Dynamics Framed Within the Bond Graph Theory

Bond Graphs for Modelling, Control and Fault Diagnosis of Engineering Systems ◽

10.1007/978-3-319-47434-2_9 ◽

2017 ◽

pp. 311-358

Author(s):

Jorge Luis Baliño

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Graph Theory ◽

Bond Graph ◽

Element Formulation ◽

Bond Graph Theory

A new finite element formulation for computational fluid dynamics: II. Beyond SUPG

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90110-6 ◽

1986 ◽

Vol 54 (3) ◽

pp. 341-355 ◽

Cited By ~ 358

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet ◽

Mizukami Akira

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Element Formulation

A new finite element formulation for computational fluid dynamics: Development of an hourglass control operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90063-p ◽

1992 ◽

Vol 94 (3) ◽

pp. 429-442 ◽

Cited By ~ 5

Author(s):

M. Mallet ◽

C. Poirier ◽

F. Shakib

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Element Formulation ◽

Control Operator ◽

Hourglass Control ◽

A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90041-4 ◽

1991 ◽

Vol 89 (1-3) ◽

pp. 141-219 ◽

Cited By ~ 349

Author(s):

Farzin Shakib ◽

Thomas J.R. Hughes ◽

Zdeněk Johan

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Compressible Euler

A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90092-2 ◽

1987 ◽

Vol 62 (1) ◽

pp. 111 ◽

Cited By ~ 1

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Element Formulation ◽